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Algebra 1 · Reasoning with Equations & Inequalities

Explain why algebraic equation steps preserve solutions

Choose the one next operation that preserves exactly the same solution set.

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What you’ll learn

Choose the one next operation that preserves exactly the same solution set.

Key idea

Applying the same reversible operation to both sides preserves the equation's solution set.

Worked example

Choose the one next operation that preserves exactly the same solution set.

Original equation: 5x + 3 = 3

  1. Apply subtraction of 3 to both complete sides.
  2. The equivalent result is 5x = 0.

Answer: Subtract 3 from both sides

Quick Check

Choose the one next operation that preserves exactly the same solution set.

Original equation: 2x + 1 = -1

Choose one answer

Show a hint

Which choice changes both sides in exactly the same reversible way?

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